Anyim arrived at the headquarters of the anti-graft agency in Jabi, Abuja, at about 3:00pm on Sunday, and was questioned by a team of operatives.
Details of the specific allegations against the former Secretary to the Government of the Federation have not been made public.
However, a source at the anti-graft agency said it might not be unconnected with the corruption and money laundering case involving former Aviation Minister and serving senator, Stella Oduah.
Rehabilitation funds worth N780 million were allegedly traced to a company in which Anyim has interest.
